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A201770 Decimal expansion of the nonzero number x satisfying x^2+x+1=e^x. 2
1, 7, 9, 3, 2, 8, 2, 1, 3, 2, 9, 0, 0, 7, 6, 1, 0, 0, 7, 5, 5, 7, 5, 5, 3, 3, 6, 3, 9, 0, 1, 0, 4, 2, 4, 0, 0, 7, 9, 8, 4, 9, 5, 0, 1, 1, 3, 5, 2, 8, 4, 4, 8, 4, 0, 1, 8, 7, 3, 6, 8, 6, 9, 2, 7, 9, 3, 6, 4, 0, 3, 5, 0, 3, 1, 2, 1, 4, 5, 3, 0, 7, 1, 0, 1, 8, 1, 6, 0, 3, 1, 2, 8, 4, 5, 5, 1, 9, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A201741 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

x=1.793282132900761007557553363901042400...

MATHEMATICA

a = 1; b = 1; c = 1;

f[x_] := a*x^2 + b*x + c; g[x_] := E^x

Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, 1.7, 1.8}, WorkingPrecision -> 110]

RealDigits[r]     (* A201770 *)

CROSSREFS

Cf. A201741.

Sequence in context: A199290 A001903 A011345 * A086282 A156000 A019804

Adjacent sequences:  A201767 A201768 A201769 * A201771 A201772 A201773

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 05 2011

STATUS

approved

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Last modified September 20 12:42 EDT 2017. Contains 292271 sequences.